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Kazeer [188]
3 years ago
7

Write an equation that is parallel to the given equation (-1, 3) y=2x+2

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

 

Hello: 
 an equation   for the line is : y =mx +b    (m: is a slope )

parallel to the liney=2x+2        ( same slope    m  =2)
the equation is : y =2x+b

through the point (-1,3) : 3 =2(-1)+b....... b=5
the equation is : y = 2x +5
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1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
I have attached a screenshot with the images of the two popcorn bags used by the theater.

Part (a):
Bag A:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 in
Bag B:
Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 in

Part (b):
To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3) 
Surface area = 12 + 64 + 48 
Surface area of bag A = 124 in²
Bag B:
Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4) 
Surface area = 16 + 48 + 48 
Surface area of bag B = 112 in²
From the above calculations, we can deduce that the theater should choose bag B in order to reduce the amount of paper needed.

Hope this helps :)



6 0
3 years ago
The weights of 1250 pumpkins are normally distributed with mean of 28 pounds and a standard deviation of 6 pounds. About how man
Mekhanik [1.2K]
Kropot72
kropot72 3 years ago
This can be solved by using a standard normal distribution table. The z-score for 34 pounds is 1, the reason being that 34 is one standard deviation above the mean of 28 pounds.
Can use the table to find the cumulative probability for z = 1.00 and post the result? If you do this we can do the next simple steps.
5 0
2 years ago
One of my factors is equal to 5-2. I am the product 24. What are my other factors?
blsea [12.9K]
5 - 2 = 3

3 x ? = 24
(24 ÷ 3 = 8)
3 x 8 = 24
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Step-by-step explanation:

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